Sobolev spaces in the generalized distribution spaces of Beurling type
type: Item
instance of: scholarly article
title: Sobolev spaces in the generalized distribution spaces of Beurling type
zbMATH Open document ID: 0822.46035
author: Dae Hyeon Pahk
author: Bu Hyeon Kang
published in: Tsukuba Journal of Mathematics
publication date: 1992-09-27T00:00:00Z
review text: The authors define the concept of the generalized distribution spaces of Beurling type \(H^ s_ \omega\) as an extension of the classical Sobolev spaces. They study its basic properties -- completeness, density, duality -- and they formulate the Sobolev imbedding theorem and Rellich compactness theorem for these generalized Sobolev spaces.
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 47B07
zbMATH DE Number: 61119
zbMATH Keywords: generalized distribution spaces of Beurling type
zbMATH Keywords: completeness
zbMATH Keywords: density
zbMATH Keywords: duality
zbMATH Keywords: Sobolev imbedding theorem
zbMATH Keywords: Rellich compactness theorem
zbMATH Keywords: generalized Sobolev spaces
reviewed by: Vladimír Ďurikovič
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496161660
OpenAlex ID: W1554804735
DOI: 10.21099/TKBJM/1496161660
description: scientific article; zbMATH DE number 61119